Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
8190.j1 |
8190b4 |
8190.j |
8190b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5460$ |
$96$ |
$1$ |
$0.763638730$ |
$1$ |
|
$8$ |
$82944$ |
$1.901119$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.24320$ |
$[1, -1, 0, -143925, 19323125]$ |
\(y^2+xy=x^3-x^2-143925x+19323125\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 420.48.0.?, $\ldots$ |
$[(50, 3475)]$ |
8190.bq3 |
8190bf2 |
8190.bq |
8190bf |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$5460$ |
$96$ |
$1$ |
$1.296647320$ |
$1$ |
|
$14$ |
$27648$ |
$1.351814$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.51166$ |
$[1, -1, 1, -15992, -710341]$ |
\(y^2+xy+y=x^3-x^2-15992x-710341\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 420.48.0.?, $\ldots$ |
$[(-83, 241)]$ |
40950.a3 |
40950d2 |
40950.a |
40950d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{12} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.010122347$ |
$1$ |
|
$6$ |
$663552$ |
$2.156532$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.73721$ |
$[1, -1, 0, -399792, -89192384]$ |
\(y^2+xy=x^3-x^2-399792x-89192384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(-291, 1708)]$ |
40950.ed1 |
40950cy4 |
40950.ed |
40950cy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{12} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$2.705837$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.35789$ |
$[1, -1, 1, -3598130, 2411792497]$ |
\(y^2+xy+y=x^3-x^2-3598130x+2411792497\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |
57330.cz1 |
57330j4 |
57330.cz |
57330j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 7^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.580576045$ |
$1$ |
|
$4$ |
$3981312$ |
$2.874077$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.37761$ |
$[1, -1, 0, -7052334, -6613727212]$ |
\(y^2+xy=x^3-x^2-7052334x-6613727212\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(-1643, 23974)]$ |
57330.dc3 |
57330dc2 |
57330.dc |
57330dc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.379560559$ |
$1$ |
|
$8$ |
$1327104$ |
$2.324768$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.77599$ |
$[1, -1, 1, -783593, 245214057]$ |
\(y^2+xy+y=x^3-x^2-783593x+245214057\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(1283, 36108)]$ |
65520.b1 |
65520bw4 |
65520.b |
65520bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$9.428204648$ |
$1$ |
|
$1$ |
$1990656$ |
$2.594269$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.01010$ |
$[0, 0, 0, -2302803, -1234377198]$ |
\(y^2=x^3-2302803x-1234377198\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 78.24.0.?, $\ldots$ |
$[(-16649/5, 245026/5)]$ |
65520.dj3 |
65520cg2 |
65520.dj |
65520cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.044960$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.41572$ |
$[0, 0, 0, -255867, 45717674]$ |
\(y^2=x^3-255867x+45717674\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 78.24.0.?, $\ldots$ |
$[]$ |
106470.bb3 |
106470e2 |
106470.bb |
106470e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.745741291$ |
$1$ |
|
$2$ |
$4644864$ |
$2.634289$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.84145$ |
$[1, -1, 0, -2702595, -1568726379]$ |
\(y^2+xy=x^3-x^2-2702595x-1568726379\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 39.8.0-3.a.1.1, $\ldots$ |
$[(-770, 7821)]$ |
106470.ev1 |
106470dr4 |
106470.ev |
106470dr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$0.707242622$ |
$1$ |
|
$8$ |
$13934592$ |
$3.183594$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.41089$ |
$[1, -1, 1, -24323357, 42379935589]$ |
\(y^2+xy+y=x^3-x^2-24323357x+42379935589\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 39.8.0-3.a.1.2, $\ldots$ |
$[(1297, 113426)]$ |
262080.b3 |
262080b2 |
262080.b |
262080b |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.391533$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.25842$ |
$[0, 0, 0, -1023468, 365741392]$ |
\(y^2=x^3-1023468x+365741392\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 156.24.0.?, $\ldots$ |
$[]$ |
262080.gx3 |
262080gx2 |
262080.gx |
262080gx |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.391533$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.25842$ |
$[0, 0, 0, -1023468, -365741392]$ |
\(y^2=x^3-1023468x-365741392\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 156.24.0.?, $\ldots$ |
$[]$ |
262080.kf1 |
262080kf4 |
262080.kf |
262080kf |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$8.723874503$ |
$1$ |
|
$1$ |
$15925248$ |
$2.940842$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.78675$ |
$[0, 0, 0, -9211212, -9875017584]$ |
\(y^2=x^3-9211212x-9875017584\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 156.24.0.?, $\ldots$ |
$[(-103652/7, 4121200/7)]$ |
262080.kj1 |
262080kj4 |
262080.kj |
262080kj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$0.858969349$ |
$1$ |
|
$9$ |
$15925248$ |
$2.940842$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.78675$ |
$[0, 0, 0, -9211212, 9875017584]$ |
\(y^2=x^3-9211212x+9875017584\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 156.24.0.?, $\ldots$ |
$[(2638, 62720)]$ |
286650.k3 |
286650k2 |
286650.k |
286650k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{12} \cdot 7^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.937257563$ |
$1$ |
|
$2$ |
$31850496$ |
$3.129486$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.93276$ |
$[1, -1, 0, -19589817, 30632167341]$ |
\(y^2+xy=x^3-x^2-19589817x+30632167341\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 105.8.0.?, $\ldots$ |
$[(-1086, 225543)]$ |
286650.rt1 |
286650rt4 |
286650.rt |
286650rt |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{12} \cdot 7^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$95551488$ |
$3.678795$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.45732$ |
$[1, -1, 1, -176308355, -826892209853]$ |
\(y^2+xy+y=x^3-x^2-176308355x-826892209853\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 105.8.0.?, $\ldots$ |
$[]$ |
327600.gt1 |
327600gt4 |
327600.gt |
327600gt |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{12} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$5.300903754$ |
$1$ |
|
$5$ |
$47775744$ |
$3.398987$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.13555$ |
$[0, 0, 0, -57570075, -154297149750]$ |
\(y^2=x^3-57570075x-154297149750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 84.24.0.?, $\ldots$ |
$[(-5321, 37142)]$ |
327600.nq3 |
327600nq2 |
327600.nq |
327600nq |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{12} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$3.087582843$ |
$1$ |
|
$5$ |
$15925248$ |
$2.849682$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.61650$ |
$[0, 0, 0, -6396675, 5714709250]$ |
\(y^2=x^3-6396675x+5714709250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 84.24.0.?, $\ldots$ |
$[(1895, 19950)]$ |
458640.hd3 |
458640hd2 |
458640.hd |
458640hd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 7^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$12.72790108$ |
$1$ |
|
$1$ |
$31850496$ |
$3.017918$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$4.65221$ |
$[0, 0, 0, -12537483, -15681162182]$ |
\(y^2=x^3-12537483x-15681162182\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.8, 84.24.0.?, $\ldots$ |
$[(-465153/17, 89065838/17)]$ |
458640.hn1 |
458640hn4 |
458640.hn |
458640hn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 7^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$95551488$ |
$3.567223$ |
$16751080718799363/1529437000000$ |
$0.97008$ |
$5.15786$ |
$[0, 0, 0, -112837347, 423391378914]$ |
\(y^2=x^3-112837347x+423391378914\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.12, 84.24.0.?, $\ldots$ |
$[]$ |